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Finding the Third Proportional to 174,722 and 261,809

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Solution

The third proportional to 174,722 and 261,809 is: 392,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,722 : 261,809 = 261,809 : x
  2. Step 2: Convert to fraction form
    174,722/261,809 = 261,809/x
  3. Step 3: Cross multiply
    174,722x = 261,809 × 261,809
  4. Step 4: Simplify right side
    174,722x = 68,543,952,481
  5. Step 5: Solve for x
    x = 68,543,952,481/174,722
  6. Step 6: Final answer
    x = 392,302.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.